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Finding the Fourth Proportional to 58,996, 81,414.48 and 32,500

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Solution

The fourth proportional to 58,996, 81,414.48 and 32,500 is: 44,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,996 : 81,414.48 = 32,500 : x
  2. Step 2: Convert to fraction form
    58,996/81,414.48 = 32,500/x
  3. Step 3: Cross multiply
    58,996x = 81,414.48 × 32,500
  4. Step 4: Simplify right side
    58,996x = 2,645,970,600
  5. Step 5: Solve for x
    x = 2,645,970,600/58,996
  6. Step 6: Final answer
    x = 44,850

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.